BOGOTA, Colombia As government and guerrilla negotiators begin the 34th round of peace talks in Cuba on Tuesday in hopes of ending Colombia's half-century conflict, they're going to have a powerful force behind them: momentum. In the last several weeks, the two sides have made life-saving breakthroughs to reduce violence even as the talks, which started in October 2012, inch along. Last week, President Juan Manuel Santos declared a one-month halt in air-force bombings against the Revolutionary Armed Forces of Colombia, or FARC, guerrillas. That concession came after the rebels declared a unilateral and indefinite ceasefire in December that, despite scattered skirmishes,...

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BOGOTA, Colombia As government and guerrilla negotiators begin the 34th round of peace talks in Cuba on Tuesday in hopes of ending Colombia's half-century conflict, they're going to have a powerful force behind them: momentum. In the last several...